A138774 - cp's OEIS frontend

A138774 Triangle read by rows: T(n,k) is the number of partitions of k that fit into a 2n by n box (n>=0; 0<=k<=2n^2).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	1
13	1
14	1
15	2
16	3
17	4
18	5
19	7
20	7
21	8
22	8
23	8
24	7
25	7
26	5
27	4
28	3
29	2
30	1
31	1
32	1
33	1
34	2
35	3
36	5
37	6
38	9
39	11
40	15
41	17
42	21
43	23
44	27
45	28
46	31
47	31
48	33
49	31
50	31
51	28
52	27
53	23
54	21
55	17
56	15
57	11
58	9
59	6
60	5
61	3
62	2
63	1
64	1
65	1
66	1
67	2
68	3
69	5
70	7
71	10
72	13
73	18
74	23
75	30
76	36
77	45
78	53
79	63
80	72
81	83
82	92
83	103
84	111
85	121

[1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 7, 7, 8, 8, 8, 7, 7, 5, 4, 3, 2, 1, 1, 1, 1, 2, 3, 5, 6, 9, 11, 15, 17, 21, 23, 27, 28, 31, 31, 33, 31, 31, 28, 27, 23, 21, 17, 15, 11, 9, 6, 5, 3, 2, 1, 1, 1, 1, 2, 3, 5, 7, 10, 13, 18, 23, 30, 36, 45, 53, 63, 72, 83, 92, 103, 111, 121]

cp's OEIS Frontend

A138774 Triangle read by rows: T(n,k) is the number of partitions of k that fit into a 2n by n box (n>=0; 0<=k<=2n^2).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	1
13	1
14	1
15	2
16	3
17	4
18	5
19	7
20	7
21	8
22	8
23	8
24	7
25	7
26	5
27	4
28	3
29	2
30	1
31	1
32	1
33	1
34	2
35	3
36	5
37	6
38	9
39	11
40	15
41	17
42	21
43	23
44	27
45	28
46	31
47	31
48	33
49	31
50	31
51	28
52	27
53	23
54	21
55	17
56	15
57	11
58	9
59	6
60	5
61	3
62	2
63	1
64	1
65	1
66	1
67	2
68	3
69	5
70	7
71	10
72	13
73	18
74	23
75	30
76	36
77	45
78	53
79	63
80	72
81	83
82	92
83	103
84	111
85	121

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	1
13	1
14	1
15	2
16	3
17	4
18	5
19	7
20	7
21	8
22	8
23	8
24	7
25	7
26	5
27	4
28	3
29	2
30	1
31	1
32	1
33	1
34	2
35	3
36	5
37	6
38	9
39	11
40	15
41	17
42	21
43	23
44	27
45	28
46	31
47	31
48	33
49	31
50	31
51	28
52	27
53	23
54	21
55	17
56	15
57	11
58	9
59	6
60	5
61	3
62	2
63	1
64	1
65	1
66	1
67	2
68	3
69	5
70	7
71	10
72	13
73	18
74	23
75	30
76	36
77	45
78	53
79	63
80	72
81	83
82	92
83	103
84	111
85	121

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	1
13	1
14	1
15	2
16	3
17	4
18	5
19	7
20	7
21	8
22	8
23	8
24	7
25	7
26	5
27	4
28	3
29	2
30	1
31	1
32	1
33	1
34	2
35	3
36	5
37	6
38	9
39	11
40	15
41	17
42	21
43	23
44	27
45	28
46	31
47	31
48	33
49	31
50	31
51	28
52	27
53	23
54	21
55	17
56	15
57	11
58	9
59	6
60	5
61	3
62	2
63	1
64	1
65	1
66	1
67	2
68	3
69	5
70	7
71	10
72	13
73	18
74	23
75	30
76	36
77	45
78	53
79	63
80	72
81	83
82	92
83	103
84	111
85	121